Results 31 to 40 of about 82,240 (178)

Nonlinear elliptic systems with variable exponents and measure data

Moroccan Journal of Pure and Applied Analysis, 2015
In this paper we prove existence results for distributional solutions of nonlinear elliptic systems with a measure data. The functional setting involves Lebesgue-Sobolev spaces as well as weak Lebesgue (Marcinkiewicz) spaces with variable exponents W01,p(
Bendahmane Mostafa, Mokhtari Fares
doaj   +1 more source

Exact constant in Sobolev's and Sobolev's trace inequalities for Grand Lebesgue Spaces [PDF]

, 2010
In this article we generalize the classical Sobolev's and Sobolev's trace inequalities on the Grand Lebesgue Spaces instead the classical Lebesgue Spaces. We will distinguish the classical Sobolev's inequality and the so-called trace Sobolev's inequality.
Ostrovsky, E., Rogover, E., Sirota, L.
core  

Uniqueness in weighted Lebesgue spaces for a class of fractional parabolic and elliptic equations

, 2014
We investigate uniqueness, in suitable weighted Lebesgue spaces, of solutions to a class of fractional parabolic and elliptic ...
Punzo, Fabio, Valdinoci, Enrico
core   +1 more source

Commutators of Littlewood-Paley gκ∗$g_{\kappa}^{*} $-functions on non-homogeneous metric measure spaces

Open Mathematics, 2017
The main purpose of this paper is to prove that the boundedness of the commutator Mκ,b∗$\mathcal{M}_{\kappa,b}^{*} $ generated by the Littlewood-Paley operator Mκ∗$\mathcal{M}_{\kappa}^{*} $ and RBMO (μ) function on non-homogeneous metric measure ...
Lu Guanghui, Tao Shuangping
doaj   +1 more source

On measure of noncompactness in variable exponent Lebesgue spaces and applications to integral equations

Journal of Inequalities and Applications, 2023
A novel measure of noncompactness is defined in variable exponent Lebesgue spaces L p ( ⋅ ) $L^{p(\cdot )}$ on an unbounded domain R + $\mathbb{R}^{+}$ and its properties are examined.
Mohamed M. A. Metwali
doaj   +1 more source

The Laguerre transform of a convolution product of vector-valued functions.

Математичні Студії, 2021
The Laguerre transform is applied to the convolution product of functions of a real argument (over the time axis) with values in Hilbert spaces.
A. O. Muzychuk
doaj   +1 more source

Identification of Fully Measurable Grand Lebesgue Spaces

Journal of Function Spaces, 2017
We consider the Banach function spaces, called fully measurable grand Lebesgue spaces, associated with the function norm ρ(f)=ess supx∈X⁡δ(x)ρp(x)(f), where ρp(x) denotes the norm of the Lebesgue space of exponent p(x), and p(·) and δ(·) are measurable ...
Giuseppina Anatriello, Ralph Chill, Alberto Fiorenza   +2 more
doaj   +1 more source

Mean oscillation and boundedness of multilinear operator related to multiplier operator

Open Mathematics, 2021
In this paper, the boundedness of certain multilinear operator related to the multiplier operator from Lebesgue spaces to Orlicz spaces is obtained.
Zhao Qiaozhen, Huang Dejian
doaj   +1 more source

Quantum measure and integration theory

, 2009
This article begins with a review of quantum measure spaces. Quantum forms and indefinite inner-product spaces are then discussed. The main part of the paper introduces a quantum integral and derives some of its properties.
Gudder S., Gudder S., Halliwell J. J., Sorkin R., Stan Gudder   +4 more
core   +1 more source

Decomposition of Lebesgue Spaces

Advances in Mathematics, 1998
The author proves existence and uniqueness of a canonical system of measures for a strictly separable \(\sigma\)-subalgebra of a Lebesgue space. Moreover, the product structure of the factor space for the smallest \(\sigma\)-subalgebra generated by strictly separable \(\sigma\)-subalgebras of a Lebesgue space being stochastically independent is studied.
openaire   +2 more sources